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Finding the Fourth Proportional to 36,119.16, 49,841.74 and 20,200.54

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Solution

The fourth proportional to 36,119.16, 49,841.74 and 20,200.54 is: 27,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,119.16 : 49,841.74 = 20,200.54 : x
  2. Step 2: Convert to fraction form
    36,119.16/49,841.74 = 20,200.54/x
  3. Step 3: Cross multiply
    36,119.16x = 49,841.74 × 20,200.54
  4. Step 4: Simplify right side
    36,119.16x = 1,006,829,746.94
  5. Step 5: Solve for x
    x = 1,006,829,746.94/36,119.16
  6. Step 6: Final answer
    x = 27,875.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.